Concept Image And Concept Definition
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Concept Image And Concept Definition
In mathematics education, concept image and concept definition are two ways of understanding a mathematical concept. The terms were introduced by . They define a concept image as such: :"We shall use the term ''concept image'' to describe the total cognitive structure that is associated with the concept, which includes all the mental pictures and associated properties and processes. It is built up over the years through experiences of all kinds, changing as the individual meets new stimuli and matures." A concept definition is similar to the usual notion of a definition A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories: intensional definitions (which try to give the sense of a term), and extensional definitio ... in mathematics, with the distinction that it is personal to an individual: :"a ''personal'' concept definition can differ from a ''formal'' concept definition, the la ...
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Mathematics Education
In contemporary education, mathematics education, known in Europe as the didactics or pedagogy of mathematics – is the practice of teaching, learning and carrying out scholarly research into the transfer of mathematical knowledge. Although research into mathematics education is primarily concerned with the tools, methods and approaches that facilitate practice or the study of practice, it also covers an extensive field of study encompassing a variety of different concepts, theories and methods. National and international organisations regularly hold conferences and publish literature in order to improve mathematics education. History Ancient Elementary mathematics were a core part of education in many ancient civilisations, including ancient Egypt, ancient Babylonia, ancient Greece, ancient Rome and Vedic India. In most cases, formal education was only available to male children with sufficiently high status, wealth or caste. The oldest known mathematics textbook is the Rh ...
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Definition
A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories: intensional definitions (which try to give the sense of a term), and extensional definitions (which try to list the objects that a term describes).Lyons, John. "Semantics, vol. I." Cambridge: Cambridge (1977). p.158 and on. Another important category of definitions is the class of ostensive definitions, which convey the meaning of a term by pointing out examples. A term may have many different senses and multiple meanings, and thus require multiple definitions. In mathematics, a definition is used to give a precise meaning to a new term, by describing a condition which unambiguously qualifies what a mathematical term is and is not. Definitions and axioms form the basis on which all of modern mathematics is to be constructed. Basic terminology In modern usage, a definition is something, typically expressed in words, that attac ...
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Educational Studies In Mathematics
''Educational Studies in Mathematics'' is a peer-reviewed academic journal covering mathematics education. It was established by Hans Freudenthal in 1968. The journal is published by Springer Science+Business Media and the editors-in-chief are Susanne Prediger (Technical University of Dortmund) and David Wagner (University of New Brunswick). According to the ''Journal Citation Reports'', the journal has a 2020 impact factor of 2.402. Editors-in-chief The following persons are or have been editors-in-chief: *1968-1977: Hans Freudenthal *1978-1989: Alan Bishop *1990-1995: Willibald Dörfler *1996-2000: Kenneth Ruthven *2001-2005: Anna Sierpińska *2006-2008: Tommy Dreyfus *2009-2013: Norma Presmeg *2014-2018: Merrilyn Goos *2019-2020: Arthur Bakker *2021-2022: Arthur Bakker and David Wagner *2022-present: Susanne Prediger and David Wagner See also *List of mathematics education journals This is a list of notable academic journals in the field of mathematics education. C *''College ...
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Mathematics Education
In contemporary education, mathematics education, known in Europe as the didactics or pedagogy of mathematics – is the practice of teaching, learning and carrying out scholarly research into the transfer of mathematical knowledge. Although research into mathematics education is primarily concerned with the tools, methods and approaches that facilitate practice or the study of practice, it also covers an extensive field of study encompassing a variety of different concepts, theories and methods. National and international organisations regularly hold conferences and publish literature in order to improve mathematics education. History Ancient Elementary mathematics were a core part of education in many ancient civilisations, including ancient Egypt, ancient Babylonia, ancient Greece, ancient Rome and Vedic India. In most cases, formal education was only available to male children with sufficiently high status, wealth or caste. The oldest known mathematics textbook is the Rh ...
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